2qdxy4rzwzuui...@potatochowder.com writes:
 > On 2020-07-05 at 12:18:54 +0900,
 > "Stephen J. Turnbull" <turnbull.stephen...@u.tsukuba.ac.jp> wrote:
 > 
 > > Which suggests the question: Is there a commonly used equivalent for
 > > complex numbers?
 > 
 > How would that work?  Complex numbers are unordered, but I suspect that
 > you know that.

Oh, that's not a problem.  Impose one, and done.  If you insist on two
complex-parameter bounds, there's at least one interesting way to
specify a total order with a connected "region" "between" any two
complex numbers: lexicographic in (magnitude, argument).

But my question was more "what's the use case?"  So I'm not persuaded
by thinking of confining the mouse pointer to a window whose points
are represented by complex numbers.  I was more wondering if, for
example, it would be useful in working with electromagnetic waveforms,
or such applications where for some reason the complex plane is more
useful than the real one.

But let's think bigger, much bigger.  Really, clamp is a topological
concept with a bounding *set*.

What's not to love about clamp(z, Mandelbrot)? :-)
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